MathDB
Averages

Source:

January 14, 2009

Problem Statement

The average (mean) of 20 20 numbers is 30 30, and the average of 30 30 other numbers is 20 20. What is the average of all 50 50 numbers? <spanclass=latexbold>(A)</span> 23<spanclass=latexbold>(B)</span> 24<spanclass=latexbold>(C)</span> 25<spanclass=latexbold>(D)</span> 26<spanclass=latexbold>(E)</span> 27 <span class='latex-bold'>(A)</span>\ 23 \qquad <span class='latex-bold'>(B)</span>\ 24 \qquad <span class='latex-bold'>(C)</span>\ 25 \qquad <span class='latex-bold'>(D)</span>\ 26 \qquad <span class='latex-bold'>(E)</span>\ 27